Lattice-Gas Automata for the Navier-Stokes Equation
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...In the seminal work of the lattice gas automaton method for two-dimensional hydrodynamics, Frisch et al (1986) recognized the importance of the symmetry of the lattice for the recovery of the Navier-Stokes equation; for the first time they obtained the correct Navier-Stokes equation starting from…...
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...The requirement for using the nine-velocity model, instead of the simpler five-velocity square lattice, comes from the consideration of lattice symmetry: the LBE cannot recover the correct Navier-Stokes equations unless sufficient lattice symmetry is guaranteed (Frisch et al 1986)....
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...A), (ii) lattice gas automata (Frisch et al., 1986; Chen et al., 1991; Peng and Herrmann, 1994; Tan et al., 1995) or cellular automata (see Sec....
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